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Finding the Third Proportional to 169,047,209 and 254,901,135

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Solution

The third proportional to 169,047,209 and 254,901,135 is: 384,357,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,047,209 : 254,901,135 = 254,901,135 : x
  2. Step 2: Convert to fraction form
    169,047,209/254,901,135 = 254,901,135/x
  3. Step 3: Cross multiply
    169,047,209x = 254,901,135 × 254,901,135
  4. Step 4: Simplify right side
    169,047,209x = 64,974,588,624,288,224
  5. Step 5: Solve for x
    x = 64,974,588,624,288,224/169,047,209
  6. Step 6: Final answer
    x = 384,357,653.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.